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Finding the Fourth Proportional to 9,596.48, 14,397.12 and 3,022.40

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Solution

The fourth proportional to 9,596.48, 14,397.12 and 3,022.40 is: 4,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.48 : 14,397.12 = 3,022.40 : x
  2. Step 2: Convert to fraction form
    9,596.48/14,397.12 = 3,022.40/x
  3. Step 3: Cross multiply
    9,596.48x = 14,397.12 × 3,022.40
  4. Step 4: Simplify right side
    9,596.48x = 43,513,855.49
  5. Step 5: Solve for x
    x = 43,513,855.49/9,596.48
  6. Step 6: Final answer
    x = 4,534.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.